Answer:
32.7 in
Step-by-step explanation:
The quilt is in the shape of a right triangle.
Therefore, we have:
- The diagonal represents the hypothenuse of the right triangle
- The width of the quilt represents one of the two sides of the right triangle
We know that for a right triangle, we can use Pythagorean's theorem:
[tex]L=\sqrt{h^2-w^2}[/tex]
where
L is the length
w is the width
h is the hypothenuse
In this problem,
h = 36 in
w = 15 in
So, the length of the quilt is:
[tex]L=\sqrt{36^2-15^2}=32.7 in[/tex]
